What is the derivative of e^{x^2-2x} ?

The derivative of e^{x^2-2x} is e^{x^2-2x}(2x-2)

What is the first derivative of e^{x^2-2x} ?

The first derivative of e^{x^2-2x} is e^{x^2-2x}(2x-2)

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\frac{d}{d x} (e^{x^{2} - 2 x})

e^{x^{2} - 2 x} (2 x - 2)

Solution steps

\frac{d}{d x} (e^{x^{2} - 2 x})

Apply the chain rule:

e^{x^{2} - 2 x} \frac{d}{d x} (x^{2} - 2 x)

= e^{x^{2} - 2 x} \frac{d}{d x} (x^{2} - 2 x)

\frac{d}{d x} (x^{2} - 2 x) = 2 x - 2

= e^{x^{2} - 2 x} (2 x - 2)

What is the derivative of e^{x^2-2x} ?
The derivative of e^{x^2-2x} is e^{x^2-2x}(2x-2)
What is the first derivative of e^{x^2-2x} ?
The first derivative of e^{x^2-2x} is e^{x^2-2x}(2x-2)